Eigenfrequencies of the three-dimensional Euler-Bernoulli beam system with dissipative joints
type: Item
instance of: scholarly article
title: Eigenfrequencies of the three-dimensional Euler-Bernoulli beam system with dissipative joints
zbMATH Open document ID: 0839.73033
DOI: 10.1007/BF02453398
author: William Paulsen
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1996-01-14T00:00:00Z
review text: We compute the transfer matrices to find the eigenfrequencies for the vibrations of the general non-collinear Euler-Bernoulli or Timoshenko beam structure with dissipative joints. We allow the structure to be three-dimensional, and thus we consider all types of vibrations simultaneously, including longitudinal and torsional vibrations. The structure consists of any number of beams joined end to end to form a chain. We show that asymptotic estimates can be used to find the eigenfrequencies approximately.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 833499
zbMATH Keywords: transfer matrices
zbMATH Keywords: Timoshenko beam
zbMATH Keywords: asymptotic estimates
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02453398
OpenAlex ID: W1999069804
description: scientific article; zbMATH DE number 833499